328345164288 has 120 divisors (see below), whose sum is σ = 949276396068. Its totient is φ = 109257818112.

The previous prime is 328345164269. The next prime is 328345164319. The reversal of 328345164288 is 882461543823.

328345164288 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 4 + 516 + 42 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313725452544 + 14619711744 = 560112^2 + 120912^2 .

It is a super-2 number, since 2×328345164288² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2597070 + ... + 2720562.

Almost surely, 2^328345164288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328345164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474638198034).

328345164288 is an abundant number, since it is smaller than the sum of its proper divisors (620931231780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328345164288 is a wasteful number, since it uses less digits than its factorization.

328345164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124094 (or 124075 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 328345164288 in words is "three hundred twenty-eight billion, three hundred forty-five million, one hundred sixty-four thousand, two hundred eighty-eight".